UNIT 5: Functions
& Relationships
Describing Patterns & Functions
Note: All key terms are based on the Math Standards for Alaska and reflect terms vital to academic achievement in math.
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INTRODUCTION OF
MATH VOCABULARY
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Process Skills
Concrete Introduction of Key Vocabulary
Note: A vocabulary graphic is provided in this unit for each of the key words.
Definitions for all of the key words can be found in the glossary at the back of this program.
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linear patterns
Have each student choose a number from
one to ten. Now give them three minutes to
make a list of numbers starting at zero and
adding that number over and over again.
Explain that this is a linear pattern since
there is the same amount between each
number. Who got to the highest number?
Who had the most additions?
tables
Draw a table on the board of student ages,
genders, and favorite subjects. Now write
those same data in a jumbled mess. Explain
that tables help us to compile and order
data.
sequences
Have students describe how the weather
changes throughout the year and what
activities they do throughout the year.
Explain that there is a repeating “sequence”
to the seasons.
Sealaska Heritage Institute
Process Skills
Concrete Introduction of Key Vocabulary
Note: A vocabulary graphic is provided in this unit for each of the key words.
Definitions for all of the key words can be found in the glossary at the back of this program.
graphs
Ask the students to go around the room
and make a list of how many girls and how
many boys have green on their shoes. Now
ask them to draw this as a graph on their
paper. Explain that graphs help us to easily
view a set of data!
ordered pairs
Show the students a map and have them
point to a specific location that they’d like
to visit. Explain that the point is a unique
ordered pair on the earth giving a direction
north/south and east/west. Explain that
these “coordinates” are ordered pairs.
quadrilateral
Explain to the students that a quadrilateral
is a polygon with four sides and four
corners. Have the students fill a piece of
paper with quadrilaterals and have them
judge the best designs!
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Process Skills
Concrete Introduction of Key Vocabulary
Note: A vocabulary graphic is provided in this unit for each of the key words.
Definitions for all of the key words can be found in the glossary at the back of this program.
rectangular prism
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Using only tin foil and masking tape, ask
each student to build a rectangular prism
after being told the definition. Which two
look the most alike and which two are the
most different? What similarities do they all
share?
VOCABULARY
PICTURES
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LINEAR PATTERNS
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TABLES
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SEQUENCES
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GRAPHS
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ORDERED PAIRS
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QUADRILATERAL
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RECTANGULAR PRISM
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LANGUAGE
ACTIVITIES
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Language and Skills Development
LISTENING
Review the key math words introduced in this unit. If the vocabulary pictures were not presented
during the introduction, show them to the students at this time.
Turn and Face
Mount the vocabulary pictures on the walls and board. Group the stu­dents
together in the center of the classroom. Say one of the vo­cabulary words and the
students should turn to face the picture for the word you said. Depending upon
the size of your class, this ac­tivity may be done in small groups. This activity may
also be done in team form. In this case, have a player from each team stand in the
center of the classroom. When a player faces the wrong di­rection (i.e., the wrong
picture), he/she is “out” until a later round of the ac­tivity. Repeat until all players
have had an opportunity to participate.
Student Support Materials
Have the students work on the activity pages from the Student Support Materials
from this unit. Afterward, review their work.
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Language and Skills Development
SPEAKING
Balloon Volleyball
Group the students into two teams. The two teams should stand, facing one an­
other. Toss a round, inflated balloon to the members of Team One. The members of
Team One must then bounce the balloon to the members of Team Two. The players
should con­tinue to bounce the bal­loon back and forth in this way until a team loses
the balloon. You may wish to establish the rule that players may not move their feet
during the activity. When a team loses the balloon, show them a vocabulary picture
and all team members in that team must say the vocabulary word for it. Repeat
until players in both teams have re­sponded a number of times.
Slip String
Mount the vocabulary pictures on the board. Join all of the students to­gether with
a long length of string. Before tying the ends of the string to­gether, insert a roll of
tape over one end of the string (a large washer can also be used). Then, tie the ends
of the string together. Face away from the students. The stu­dents should then pass
the roll of tape as quickly as possi­ble along the string. When you clap your hands,
the student who is holding the roll of tape, must identify (orally) a vocabulary
picture you point to. For added motivation, you may wish to place more than one
roll of tape (or washer) on the line of string. Re­peat until many students have re­
sponded.
Roll ‘Em Again!
Mount the vocabulary pictures on the board. Number each picture from one to six
(repeat a number as often as neces­sary). Then, group the students into two teams.
Give the first player in each team a die. When you say “Go,” the first player in each
team must roll his/her die. He/She should call the number showing on it and then
say a complete sentence about a vocabulary picture on the board that has the same
num­ber. Repeat this process until all students have partici­pated.
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Language and Skills Development
READING
Introduce the math sight words to the students — match the sight words with the vocabulary
graphics. The sight words are included in the Student Support Materials, attached to these lesson
plans.
Deal
Before the activity begins, obtain two decks of playing cards. Give all of the cards
from one deck to the students (if possible, ar­range it so that all students have the
same number of cards). Mount the sight words on the board. Hold a playing card
from the other deck of cards against one of the sight words on the board. The
student who has the matching playing card must identify the sight word. When
the student has done this correctly, he/she should place that playing card to the
side. Continue in this way until a student or students have no playing cards left in
their hands.
Letter Encode
Give each student his/her envelope that contains the alphabet letters. Show a
picture from this unit. The students must use the cut-out letters to spell the word
for the picture. Review the students’ work. Repeat, until all of the words have been
spelled.
Student Support Materials
Have the students work on the activity pages from the Student Support Materials
from this unit. Afterward, review their work.
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Language and Skills Development
WRITING
Mirror Writing
Group the students into two teams. Have the first player from each team stand in
front of the board. Give each of the two players a small, unbreakable mirror. Stand
some distance behind the two play­ers with pictures for the sight words. Hold up
one of the pictures. When you say “Go,” the players must use the mirrors to look
over their shoulders to see the picture you are holding. When a player sees the
picture, he/she must write the sight word for that picture on the board. The first
player to do this correctly wins the round. Repeat this pro­cess until all players in
each team have had an opportunity to re­spond.
Yarn Spell
Group the students into two teams. Give the first player in each team lengths
of yarn or string. Say a vocabulary word. When you say “Go,” the first player in
each team must then use the yarn or string to “write” the word on the floor. The
first player to complete his/her word wins the round. Repeat this process until all
players in each team have played. If pipe cleaners are available, they may be used
in place of the yarn or string (have both long and short lengths of the pipe cleaners
ready for the activ­ity).
Student Support Materials
Have the students work on the activity pages from the Student Support Materials
from this unit. Afterward, review their work.
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STUDENT SUPPORT
MATERIALS
Listening
l
Mini Pictures
Listening: Mini Pictures
Have the students cut out the pictures. Say the key math words from this unit, and the
students should hold up the pictures for them.
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STUDENT SUPPORT
MATERIALS
Sight Words
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sequences
tables
linear patterns
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quadrilateral
ordered pairs
graphs
rectangular prism
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STUDENT SUPPORT
MATERIALS
Reading
l
Sight Recognition
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Sight Words Activity Page
Have the students circle the word for each picture.
linear patterns
linear patterns
tables
tables
sequences
sequences
graphs
graphs
ordered pairs
ordered pairs
quadrilateral
quadrilateral
rectangular
prism
rectangular
prism
linear patterns
linear patterns
tables
tables
sequences
sequences
graphs
graphs
ordered pairs
ordered pairs
quadrilateral
quadrilateral
rectangular
prism
rectangular
prism
linear patterns
linear patterns
tables
tables
sequences
sequences
graphs
graphs
ordered pairs
ordered pairs
quadrilateral
quadrilateral
rectangular
prism
rectangular
prism
Sight Words Activity Page
linear patterns
tables
sequences
graphs
ordered pairs
quadrilateral
rectangular
prism
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Sight Words Activity Page
Write the numbers on their correct vocabulary graphics.
1. linear patterns
2. tables
3. sequences
4. graphs
5. ordered pairs
6. quadrilateral
7. rectangular prism
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Sight Words Activity Page
Write the key words from this unit horizontally in the boxes (more than one copy of each word can
be written). Fill in all other boxes with any letters. Exchange page with another student. Find key
words and circle.
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Sight Words Activity Page
Name
Date
(Key # 1 - 833363)
Unit 3.1
Highlight or circle the words in this word find.
Find each of the following words.
quadrilateral
graphs
sequences
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Sight Words Activity Page
Answer Key: Key # 1 - 833363
Unit 3.1
ANSWER KEY
Find each of the following words.
quadrilateral
graphs
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STUDENT SUPPORT
MATERIALS
Reading
l
Encoding
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Encoding Activity Page
Have the students cut out the word parts and glue them into their correct words.
linear p________rns
t________s
s________nces
gr_______s
o_________d pairs
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eque
rdere
tangu
aph
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Encoding Activity Page
qu________lateral
rec_________lar prism
atte
adri
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Encoding Activity Page
Have the students cut out the word halves and glue them together to create the key words
for this unit.
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lin
bles
ta
airs
se
ear patterns
gr
angular prism
ordered p
aphs
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Encoding Activity Page
quad
rilateral
rect
quences
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Encoding Activity Page
Cut out and encode the syllables of the words OR number the syllables in their correct
sequence.
ar
li
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pat
les
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tab
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ne
Encoding Activity Page
quen
se
ces
graphs
pairs dered or
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Encoding Activity Page
la
ri
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te
quad
tan
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rec
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lar
gu
STUDENT SUPPORT
MATERIALS
Reading Comprehension
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What’s the Answer?
Read the text and then select the correct answer for it. Fill in the bullet beside the answer of
your choice.
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1
Linear patterns include a list of numbers that increases or decreases by _______ amount
between each number.
m The same
m A different
m A larger
m A smaller
2
A set of data arranged in rows and columns is a __________.
m Table
m Chair
m List
m Hard Drive
3
A _________ of events lead to the passage of the Alaska Native Claims Settlement Act
(ANCSA).
m Failure
m Sequence
m List
m Plot
4
Data on an increase in bear attacks on humans over time may be best represented using:
m Graphs
m Traps
m Bear Spray
m Dictionaries
5
Coordinates on a GPS unit are listed as:
m Cartoons
m Stick Figures
m Single Digit Numbers
m Ordered Pairs
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What’s the Answer?
6
A quadrilateral is a polygon with four sides and four:
m Wheelers
m Line Breaks
m Vertices
m Linkages
7
A __________ prism has a bottom and top that are congruent rectangles.
m Triangular
m Rectangular
m Square
m Circular
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What’s the Answer?
ANSWER KEY
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1
Linear patterns include a list of numbers that increases or decreases by _______ amount
between each number.
l The same
m A different
m A larger
m a smaller
2
A set of data arranged in rows and columns is a __________.
l Table
m Chair
m List
m Hard Drive
3
A _________ of events lead to the passage of the Alaska Native Claims Settlement Act
(ANCSA).
m Failure
l Sequence
m List
m Plot
4
Data on an increase in bear attacks on humans over time may be best represented using:
l Graphs
m Traps
m Bear Spray
m Dictionaries
5
Coordinates on a GPS unit are listed as:
m Cartoons
m Stick Figures
m Single Digit Numbers
l Ordered Pairs
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What’s the Answer?
6
A quadrilateral is a polygon with four sides and four:
m Wheelers
m Line Breaks
l Vertices
m Linkages
7
A __________ prism has a bottom and top that are congruent rectangles.
m Triangular
l Rectangular
m Square
m Circular
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Reading Comprehension Activity Page
Write the numbers/letters for sentence halves that match.
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1
Linear patterns are derived from a list of
numbers that increase or
A
decrease by the same amount
between each number.
2
Tables are valuable tools for arranging
B
from year to year can be very
valuable to resource managers.
3
The sequence of events leading up to a
crime
C
data in rows and columns.
4
Graphs depicting the changes in salmon
harvest
D
is shown as an ordered pair called
a coordinate.
5
The latitude and longitude of one’s
location on a GPS
E
both examples of a quadrilateral.
6
Squares and rectangles are
F
that are congruent rectangles.
7
Rectangular prisms have a top and a
bottom
G
can be very important to a jury
hearing the case.
1g____________2g ____________
3g ____________
5g ____________
7g ____________
6g ____________
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4g ____________
Reading Comprehension Activity Page
ANSWER KEY
1
Linear patterns are derived from a list of
numbers that increase or
A
decrease by the same amount
between each number.
2
Tables are valuable tools for arranging
B
from year to year can be very
valuable to resource managers.
3
The sequence of events leading up to a
crime
C
data in rows and columns.
4
Graphs depicting the changes in salmon
harvest
D
is shown as an ordered pair called
a coordinate.
5
The latitude and longitude of one’s
location on a GPS
E
both examples of a quadrilateral.
6
Squares and rectangles are
F
that are congruent rectangles.
7
Rectangular prisms have a top and a
bottom
G
can be very important to a jury
hearing the case.
A
5g ____________
D
C
6g ____________
E
1g____________2g ____________
G
7g ____________
F
3g ____________
B
4g ____________
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Reading Comprehension Activity Page
Cut out the words and glue them under their definitions.
Order of events
Increasing or
decreasing by same
amount
Diagrams
Give location of a
point on a plane
Polygon with 4 sides
and 4 vertices
Congruent
rectangles on top
and bottom
Data arranged in
rows and columns
378
linear patterns
tables
sequences
ordered pairs
quadrilateral
rectangular prism
Sealaska Heritage Institute
graphs
Reading Comprehension Activity Page
ANSWER KEY
Order of events
sequences
Give location of a
point on a plane
ordered pairs
Increasing or
decreasing by same
amount
linear patterns
Polygon with 4 sides
and 4 vertices
quadrilateral
Diagrams
graphs
Congruent
rectangles on top
and bottom
rectangular prism
Data arranged in
rows and columns
tables
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380
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STUDENT SUPPORT
MATERIALS
Writing
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Writing Activity Page
Have the students complete the writing of the key math words.
li______r pat_______s
_______
ta______s
seq______ces
gr_____hs
or______ed pa_____s
quad______ateral
rec_______ular p______m
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__
Writing Activity Page
Have the students complete the writing of the key math words.
l_________ p________s
t___________________s
s___________________s
g__________________s
o_________ p________s
q___________________l
r____________ p_____m
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Basic Writing Activity Page
Have the students write the word for each picture.
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Crossword Puzzle
2
1
3
4
5
6
7
3
5
6
7
Across
Order of
events
Increasing or
decreasing by
same amount
(2 Words)
Data arranged
in rows and
columns
Diagrams
1
2
4
Down
Give location of
a point on a
plane (2 Words)
Congruent
rectangles on
top and bottom
(2 Words)
Polygon with 4
sides and 4
vertices
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Crossword Puzzle Answers
1
3
5
6
7
386
2
O
R
3
4
R
S E Q U E N C E S
D
U
C
5
L I N E A R P A T T E R N S
R
D
A
E
R
N
D
I
G
P
L
U
6
A
T A B L E S
I
T
A
R
E
R
7
S
G R A P H S
A
R
L
I
S
M
Across
Down
Order of
1 Give location of
events
a point on a
Increasing or
plane (2 Words)
decreasing by
2 Congruent
same amount
rectangles on
(2 Words)
top and bottom
Data arranged
(2 Words)
in rows and
4 Polygon with 4
columns
sides and 4
Diagrams
vertices
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UNIT ASSESSMENT
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Describing Patterns & Functions
Unit Assessment Teacher’s Notes
Grade 8 l Unit 5
Date:________________
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389
Unit Assessment
Provide each student with a copy of the students’ pages. Read the following instructions aloud. The students
should answer the questions on their copies of the assessment.
BASIC LISTENING
Turn to page 1 in your test. Look at the pictures in the boxes.
1. Write the number 1 by the picture for LINEAR PATTERNS.
2. Write the number 2 by the picture for TABLES.
3. Write the number 3 by the picture for SEQUENCES.
4. Write the number 4 by the picture for GRAPHS.
5. Write the number 5 by the picture for ORDERED PAIRS.
6. Write the number 6 by the picture for QUADRILATERAL.
7. Write the number 7 by the picture for RECTANGULAR PRISM.
SIGHT RECOGNITION
Turn to page 2 in your test. Look at the pictures in the boxes. Circle the word for each picture.
DECODING/ENCODING
Turn to page 3 in your test. Look at the word parts in the boxes. Circle the other half or part of
each word.
READING COMPREHENSION
Turn to page 4 in your test. Write each word under its definition.
Refer to Student Support Materials for answer key.
BASIC WRITING
Turn to page 5 in your test. Look at the pictures in the boxes. Write the word for each picture.
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Teacher: To get a percentage for this student’s assessment, divide the total number of questions
correct by the total number of questions, then multiply this answer by 100 to determine the
percentage of questions answered correctly.
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MATH PROGRAM
Unit Assessment Student Pages
Grade 8 l Unit 5
Date:___________
Student’s Name:____________________
Number Correct:__________
Percent Correct:__________
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394
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1
linear patterns
linear patterns
tables
tables
sequences
sequences
graphs
graphs
ordered pairs
ordered pairs
quadrilateral
quadrilateral
rectangular prism
rectangular prism
linear patterns
linear patterns
tables
tables
sequences
sequences
graphs
graphs
ordered pairs
ordered pairs
quadrilateral
quadrilateral
rectangular prism
rectangular prism
linear patterns
linear patterns
tables
tables
sequences
sequences
graphs
graphs
ordered pairs
ordered pairs
quadrilateral
quadrilateral
rectangular prism
rectangular prism
linear patterns
tables
sequences
graphs
ordered pairs
quadrilateral
rectangular prism
2
li____
patterns
quadrilat____
ord____
pairs
rectang____
prism
ta____
nar
ner
nir
nor
nur
near
neer
neir
neor
gr____
aral
arel
aril
arol
arul
eral
erel
eril
erol
seque____
arad
ared
arid
arod
arud
erad
ered
erid
erod
oolar
ooler
oolir
oolor
oolur
ular
uler
ulir
ulor
3
plas
ples
plis
plos
plus
blas
bles
blis
blos
afs
efs
ifs
of
ufs
aphs
ephs
iphs
ophs
ncase
ncese
ncise
ncose
ncuse
ncas
nces
ncis
ncos
Order of events
Increasing or
decreasing by same
amount
Diagrams
Give location of a
point on a plane
Polygon with 4 sides
and 4 vertices
Congruent
rectangles on top
and bottom
Data arranged in
rows and columns
linear patterns
tables
sequences
ordered pairs
quadrilateral
rectangular prism
4
graphs
398
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5